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Statistical approach to multiple-q modulated structures: average Patterson analysis
Authors:Grzegorz Urban  Janusz Wolny †
Abstract:Using a statistical approach, the average unit cells have been constructed for modulated structures with different types of modulation, from simple sinusoidal to square-wave functions. The obtained unit cells fully describe diffraction intensities of the main reflections and their satellites. A universal distribution, valid for different lengths of the modulation vector, has been found. Average Patterson functions have been constructed and used to distinguish between different types of modulation.
Keywords:
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